Fuzzy implications: alpha migrativity and generalised laws of importation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73603688" target="_blank" >RIV/61989592:15310/20:73603688 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0020025520303406" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0020025520303406</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ins.2020.04.033" target="_blank" >10.1016/j.ins.2020.04.033</a>

Result language
angličtina
Original language name
Fuzzy implications: alpha migrativity and generalised laws of importation
Original language description
In this work, we discuss the law of alpha-migrativity as applied to fuzzy implication functions in a meaningful way. A generalisation of this law leads us to Pexider-type functional equations connected with the law of importation, viz., the generalised law of importation I(C(x, alpha), y) = I(x, J(alpha, y)) (GLI) and the generalised cross-law of importation I(C(x, alpha), y) = J(x, I(alpha, y)) (CLI), where C is a generalised conjunction. In this article we investigate only (GLI). We begin by showing that the satisfaction of law of importation by the pairs (C, I) and/or (C, J) does not necessarily lead to the satisfaction of (GLI). Hence, we study the conditions under which these three laws are related.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
<a href="/en/project/GA18-06915S" target="_blank" >GA18-06915S: New approaches to aggregation operators in analysis and processing of data</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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